Support each answer.
1. Given that √2 is an irrational number, is 1 + √2 also irrational?
2. Given that π is an irrational number, is 2π also irrational?
3. Is the number of irrational numbers between 1 and 2 finite or infinite?
1 and 2..... adding a rational to an irrationall always results in an irrational...this makes sense....since an irrational can't be expressed as a fraction, there is no way of getting a common denominator!!!.....multiplying an irrational by a rational results in an irrational
3. The number of irrationals between 1 and 2 is infinite.......in fact.......the number of irrationals between any two irrationals is also infinite, no matter how close together the two irrationals are !!!!